4 Oct
2017
4 Oct
'17
9:37 p.m.
Complex dynamics is the field that has brought us the Mandelbrot set, Julia sets, and lots of beautiful and mysterious phenomena. In 2006 topologist John Milnor published the latest edition (3rd) of his book "Dynamics in One Complex Variable". The original (1990) notes this book is based on are freely downloadable, but the book goes into more detail in many, many ways, and of course is more up-to-date. I finally got my hands on it, and it looks to be another Milnor tour de force. There were 3 published editions after these notes: https://arxiv.org/abs/math/9201272 so the 3rd edition is in that sense the 4th. If you have any interest in this subject, book is highly recommended. —Dan